206.3 is what percent of 318.9 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 318.9 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 318.9, so we can write it down as 100%=318.9.
4. We know, that x% equals 206.3 of the output value, so we can write it down as x%=206.3.
5. Now we have two simple equations:
1) 100%=318.9
2) x%=206.3
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=318.9/206.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 206.3 is what percent of 318.9

100%/x%=318.9/206.3
(100/x)*x=(318.9/206.3)*x       - we multiply both sides of the equation by x
100=1.5458070770722*x       - we divide both sides of the equation by (1.5458070770722) to get x
100/1.5458070770722=x
64.691125744748=x
x=64.691125744748

now we have:
206.3 is 64.691125744748% of 318.9